477.2 is what percent of 1524 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1524 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1524, so we can write it down as 100%=1524.
4. We know, that x% equals 477.2 of the output value, so we can write it down as x%=477.2.
5. Now we have two simple equations:
1) 100%=1524
2) x%=477.2
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1524/477.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 477.2 is what percent of 1524

100%/x%=1524/477.2
(100/x)*x=(1524/477.2)*x       - we multiply both sides of the equation by x
100=3.1936295054484*x       - we divide both sides of the equation by (3.1936295054484) to get x
100/3.1936295054484=x
31.312335958005=x
x=31.312335958005

now we have:
477.2 is 31.312335958005% of 1524